228711168 has 288 divisors, whose sum is σ = 804518400. Its totient is φ = 62705664.

The previous prime is 228711107. The next prime is 228711173. The reversal of 228711168 is 861117822.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (10752) is a multiple of the sum of its prime factors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1403055 + ... + 1403217.

Almost surely, 2^228711168 is an apocalyptic number.

228711168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228711168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402259200).

228711168 is an abundant number, since it is smaller than the sum of its proper divisors (575807232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228711168 is a wasteful number, since it uses less digits than its factorization.

228711168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 228711168 is about 15123.1996614473. The cubic root of 228711168 is about 611.5459916153.

The spelling of 228711168 in words is "two hundred twenty-eight million, seven hundred eleven thousand, one hundred sixty-eight".